An Extended Step-Wise Weight Assessment Ratio Analysis with Symmetric Interval Type-2 Fuzzy Sets for Determining the Subjective Weights of Criteria in Multi-Criteria Decision-Making Problems

Ghorabaee, Mehdi Keshavarz; Amiri, Maghsoud; Zavadskas, Edmundas Kazimieras; Turskis, Zenonas; Antuchevičienė, Jurgita

doi:10.3390/sym10040091

Cited by 39 publications

(19 citation statements)

References 52 publications

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“…This proposition is not an equivalence, as can be observed by taking [A, 7,9) , (10, 13,16)] T . It is the case that [(1, 2, 3) , (7, 9,11)] T ≤ [(5, 7,9) , (10, 13,16)…”

Section: Inequality Relationship: the Lattice (Ifs ≤)mentioning

confidence: 97%

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Interval Fuzzy Segments

Jorba

Adillon

2018

Symmetry

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In this paper, we bring together two concepts related to uncertainty and vagueness: fuzzy numbers and intervals. With them, we build a new structure whose elements we call interval fuzzy segments. We have undertaken this based on the conviction that the fuzzy numbers are a correct representation of the real numbers under situations of indeterminacy. We also believe that if it makes sense to consider the set of real numbers between two real bounds, then it also makes sense to consider the set of all the fuzzy numbers between two fuzzy number bounds. In this way, we extend the concept of real interval to the concept of interval fuzzy segment defined by two fuzzy bounds and a transition mapping that leads from the lower fuzzy bound to the upper fuzzy bound and this transition mapping generates the set of all the fuzzy numbers comprised between those fuzzy bounds. At the same time, this transition mapping brings the concept of interval fuzzy segment closer to the concept of line segment.

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“…This proposition is not an equivalence, as can be observed by taking [A, 7,9) , (10, 13,16)] T . It is the case that [(1, 2, 3) , (7, 9,11)] T ≤ [(5, 7,9) , (10, 13,16)…”

Section: Inequality Relationship: the Lattice (Ifs ≤)mentioning

confidence: 97%

“…When working with interval-valued fuzzy numbers, the degree of membership is given by an interval. We can find applications of interval type-2 fuzzy numbers in many scientific disciplines, such as decision-making [11][12][13][14][15], engineering applications [16][17][18], graph theory [19] and control theory [20,21] among others.…”

Section: Introductionmentioning

confidence: 99%

Interval Fuzzy Segments

Jorba

Adillon

2018

Symmetry

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“…To achieve these experts use criteria weighting methods. Scientists developed dozens of different subjective approaches for assessing weights (Nakhaei et al, 2016): AHP (Saaty, 1980), ANP (Saaty, 1996), expert method (Zavadskas & Vilutienė, 2006), SWARA (Keršulienė et al, 2010;Keshavarz-Ghorabaee et al, 2018), etc. Different types of measurement scales (nominal, ratio, ordinal, interval, or fuzzy) could be used to measure the importance of criteria.…”

Section: Establishing the Importance Of Elements For Evaluation Expedmentioning

confidence: 99%

Evaluation of the Expediency of Technology Commercialization: A Case of Information Technology and Biotechnology

Zemlickienė

Turskis

2020

Technological and Economic Development of Economy

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The ability to timely and objectively evaluate the expediency of technology commercialising is a crucial step for R&D organisations. It is a game with business success, which could enable to operate technologies efficiently and prevent unproductive investments. Managers in power, involved in the technology commercialization cycle, create rules for the game and are the leading players. The research establishes specifics of different technological fields, which are essential for assessing the expediency of technology commercialization. The scientific literature of technology commercialization didn’t take into account the specifics of different technological fields. The study presents the first two phases of the expediency of commercialization of the information technologies and biotechnologies evaluation models: the development of elements collections and the establishment of the importance of elements. The proposed technique could be expanded to select the most suitable technology for sustainable management of commercialization and the rational use of resources. The results of the expert’s survey aimed at establishing the importance of the elements are compared, efforts are made to identify differences in the evaluation the expediency of technology commercialization for information technologies and biotechnologies. The MCDM method has applied the selection of which was established by the motive related to the goal of evaluation – to evaluate the expediency of technology commercialization for information technologies and biotechnologies.

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“…The paper presents a new method for solving the fully fuzzy DEA (data envelopment analysis) model where all parameters are Z-numbers [55]. The topic of data fuzziness is continued in the paper aimed at the weighting of criteria in multi-criteria decision models [56]. An extended SWARA (step-wise weight assessment ratio analysis) method with symmetric interval type-2 fuzzy sets for determining the weights of criteria is developed.…”

Section: Research Papersmentioning

confidence: 99%

Solution Models Based on Symmetric and Asymmetric Information

2019

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This Special Issue covers symmetry and asymmetry phenomena occurring in real-life problems. We invited authors to submit their theoretical or experimental research presenting engineering and economic problem solution models dealing with the symmetry or asymmetry of different types of information. The issue gained interest in the research community and received many submissions. After rigorous scientific evaluation by editors and reviewers, nine papers were accepted and published. The authors proposed different solution models as integrated tools to find a balance between the components of sustainable global development, i.e., to find a symmetry axis concerning goals, risks, and constraints to cope with the complicated problems. We hope that a summary of the Special Issue as provided in this editorial will encourage a detailed analysis of the papers.Symmetry 2019, 11, 500 2 of 9 with complex problems, a solution's problem is divided into smaller issues. The analyst then uses a method to integrate the results so that the action can be selected temporarily.Other stakeholders should align the decision on complex and strategic issues. Moreover, decision-makers should strike a balance between objectivity and subjectivity of data [2].Objectivity is often considered the basis for the evaluation of the knowledge society. Objectivity is a value. The objectivity, balance, and symmetry of decision-making emphasize paradoxes [3] in terms of groups and outcomes. Science is objective when setting and summarizing facts. It is an obvious way of dealing with the requirements of scientific realism.Confirmation of objectivity and induction problem; choice of theory and exact change; realism; scientific explanation; to experiment; measurement and quantification; evidence and basis for statistics; science based on actual data; experimental values are the central, fundamental debates in the philosophy of science. Understanding scientific objectivity is, therefore, essential to understanding the nature of science and its role in society. Under the concept of product objectivity, science is objective, or to such an extent that its products-theories, laws, experimental results, and observations-represent an accurate representation of the outside world. According to the understanding of the objectivity of the process, science is objective, or to such an extent that its necessary procedures and methods depend on the associated social and ethical values, the bias of the individual scientist. In particular, this second understanding is independently multi-faceted; and it includes explanations related to measurement procedures, self-justification processes, or socio-scientific scales.The latter projects are characterized by high investment, long construction, and sophisticated technology. Many decision-making problems arise from imperfect information. This means that not all the information needed to create a reasonable solution is known [4]. In a market where customers reach balance, and product developers should have detailed information abo...

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An Extended Step-Wise Weight Assessment Ratio Analysis with Symmetric Interval Type-2 Fuzzy Sets for Determining the Subjective Weights of Criteria in Multi-Criteria Decision-Making Problems

Cited by 39 publications

References 52 publications

Interval Fuzzy Segments

Interval Fuzzy Segments

Evaluation of the Expediency of Technology Commercialization: A Case of Information Technology and Biotechnology

Solution Models Based on Symmetric and Asymmetric Information

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